Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Consider this system of equations:

x + 2y = -13
12x + 5y = -4

The solution of this system of equations is ( , )

Answer 1

The solution of this system of equations is (3 , -8)

Explanation:

The given system is

x + 2y = -13

12x + 5y = -4

We make x the subject of the first equation and put it into the second:

`x = - 13 - 2y`

We put this expression for x into the second equation

12(-13-2y)+5y=-4

-156-24y+5y=-4

-24y+5y=-4+156

-19y=152

y=-8

We substitute y=-8 into x=-13-2y to get:

`x = - 13 - 2( - 8) = 3`

The solution of this system of equations is (3 , -8)